Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Question
Chapter 12, Problem 8P
To determine
The trip distribution calculation using the gravity model for two iterations.
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The Jeffersonville Transportation Study Area has been divided into four large districts (traffic zones). The following data have been collected for those districts. Provide a trip distribution calculation using the gravity model for two Assume Kij = 1.
A study area consists of three zones. The data have been determined as shown in the following
tables.
Zone Productions and Attractions
Zone
1
2
3
Total
Trip Productions
140
330
280
750
Trip Attractions
300
270
180
750
Travel Time between zones (min)
Zone
1
3
1
5
3
2
3
3
5
Travel Time versus Friction Factor
Time (min)
F
1
82
2
52
3
50
4
41
5
39
6
26
7
20
8
12
Determine the number of trips between each zone using the gravity model. Show all steps in the
calculation of friction factors and iterations for balancing attractions and productions.
6.
Chapter 12 Solutions
Traffic and Highway Engineering
Ch. 12 - Prob. 1PCh. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Prob. 5PCh. 12 - Prob. 6PCh. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - Given a table with production and attraction data,...
Ch. 12 - Given a table with production and attraction data,...Ch. 12 - Prob. 12PCh. 12 - Prob. 13PCh. 12 - Prob. 14PCh. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Prob. 18PCh. 12 - Prob. 19PCh. 12 - Prob. 20PCh. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - Prob. 23PCh. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - Prob. 26PCh. 12 - Prob. 27PCh. 12 - Prob. 28P
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- Determine the trip distribution matrix using "Gravity Model" of transport system with given the data: Trip Production of Zones 1, 2 and 3, correspondingly are 500, 600, and 800 tpd Trip Attraction of Zones 1, 2 and 3, correspondingly are 600, 700 and 600 tpdarrow_forwardA town in Canada has been divided into three traffic zones. An origin-destination survey was conducted earlier this yearand yielded the number of trips between each zone as shown in the table below. Travel times between zones were alsodetermined. Provide a trip distribution calculation using the gravity model for two iterations. Assume Kij= 1.arrow_forwardA Study area with four transportation analysis zones has the following information: Table 3: Trip productions and attractions for a four-zone study area and travel time between zones. Travel Time, (t) (min) Zone Trip productions Trip I 220 2 240 3 330 4 230 attractions 350 270 210 190 Table 4: Travel time versus friction factor. Time (min) 2 Friction Factor 61 1 78 from zone 1 4 9 10 6 3 47 4 37 from zone 2 5 29 5 6 7 5 6 22 from zone 3 7 17 6 8 7 6 8 14 from zone 4 9 10 8 9 11 7 10 8 Using a gravity model, determine the number of trips from zone to zone through two iterations. (Assume that the socioeconomic adjustment factor is 1.0).arrow_forward
- Miami, Oklahoma has three transportation analysis zones, and origin-destination survey results. Using a spreadsheet, provide a trip distribution calculation using the gravity model. The following table shows the number of productions and attractions in each zone, as well as the socioeconomic adjustment factor.arrow_forwardHelp please. ill upvote. Thanks :)arrow_forwardA zone has been divided into four large districts (traffic zones). The following data has been collected for those districts. Provide a trip distribution calculation (single constrained) using the gravity model. Assume Kij = 1 (Check balancing of Tij = A after the first iteration) District 1 2 3 4 Travel Time Fij Productions 3400 6150 3900 2800 1 2.0 Attractions 2800 6500 2550 4400 4 1.6 6 1.0 1 4 11 15 10 9 10 0.9 0.86 Travel time (min) 2 3 11 15 6 6 6 6 9 11 11 12 0.82 0.80 4 10 9 11 4 15 20 0.68 0.49arrow_forward
- 4. The present trip ends and travel time matrix between the zones are shown in Tables 6.75 and 6.76, respectively. Travel impendance factor between the zones may be assumed to be e-tij, The socio-economic adjustment factors between the zones may be assumed to one. Calculate the trip interchanges between the zones by using the gravity model. TABLE 6.75 Zones Trips produced Trips attracted 1 2500 3000 2 3300 4000 3 3200 2000 TABLE 6.76 1 2 3 1 15 20 2 15 10 3 20 10arrow_forwardQ1. The following is the number of trips and the number of households by the number of persons per household and the level of household income in a given zone. Persons/hh 1 2 3 4 5 or above Low No. of hh 93 72 59 120 13 Persons/household 1 2 3 4 5 or more Trip No. 222 341 417 1010 107 Income Medium Low 120 100 90 150 30 No. of hh 149 138 125 109 37 Trip No. 616 853 1025 1186 457 The forecasted number of households in the study area for a target year is shown below. High Income Medium 280 220 190 180 60 No. of hh 96 27 33 40 33 Trip No. 360 205 381 471 423 High 130 40 50 70 60arrow_forwardA multiple regression analysis shows the following relationship for the number of trips per household. T = 0.82 + 1.3P + 2.1A Where T = number of trips per household per day P= number of persons per household A= number of autos per household If a particular TAZ contains 250 households with an average of 4 persons and 2 autos for each household, determine the average number of trips per day in that zonearrow_forward
- Help me please. Ill upvote, Thankyou :)arrow_forwardProblem 1. Given a basic trip matrix below Zone 1 Zone 2 Zone 3 Zone 4 Zone 1 156 99 68 77 Zone 2 58 204 103 95 Zone 3 26 45 138 191 Zone 4 52 20 191 439 Compute the trip matrix for the horizon year using average growth factor model. Assume that the future trips would increase by 10%.arrow_forwardQ1. Develop statistical model to predict number of trips using regression analysis technique. Number of workers (X) Number of trips(Y) 2 6 4 8 7 10 7 11arrow_forward
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